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8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track o
Question
8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate the net accelerating force
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Physics
3 years
2021-09-05T12:58:40+00:00
2021-09-05T12:58:40+00:00 1 Answers
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Answer:
The net force of engine on total mass of train is 35000 N
The net acceleration is 1.944 m/s²
Explanation:
Here we have;
Mass of each wagon of train = 2000 kg
Number of wagons = 5
Total mass of wagons = 5 × 2000 = 10000 kg
Mass of engine = 8000 kg
Total mass, m of train (engine plus wagons) = 10000 + 8000 = 18000 kg
Force exerted by train = 40000 N
Friction force due to the railway track = 5000 N
Net force, F of engine on total mass of train = 40000 – 5000 = 35000 N
Formula for force, F = Mass, m × Acceleration, a
35, 000 = 18,000 × a
a = 35,000/18,000 = 35/18 m/s²
The net acceleration = 1.944 m/s².